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Finding the Fourth Proportional to 137,400.50, 189,612.69 and 77,784.50

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Solution

The fourth proportional to 137,400.50, 189,612.69 and 77,784.50 is: 107,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400.50 : 189,612.69 = 77,784.50 : x
  2. Step 2: Convert to fraction form
    137,400.50/189,612.69 = 77,784.50/x
  3. Step 3: Cross multiply
    137,400.50x = 189,612.69 × 77,784.50
  4. Step 4: Simplify right side
    137,400.50x = 14,748,928,285.31
  5. Step 5: Solve for x
    x = 14,748,928,285.31/137,400.50
  6. Step 6: Final answer
    x = 107,342.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.